基于局部共振理论的齿轮成形磨削纵弯谐振系统设计

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摘要

为获取超声磨齿纵弯谐振系统的有效设计方法，基于局部共振理论，对磨削系统中的大负载成形砂轮盘振动系统进行设计与研究。根据振动单元间的连续条件和边界条件，按照一体式设计思路建立纵弯谐振系统的理论模型和频率方程。基于该理论模型，利用MATLAB、ANSYS等分析软件对系统各部分尺寸参数进行设计与优化，并进行有限元模态分析、阻抗分析试验和超声谐振试验。仿真与试验结果表明，系统谐振效果和振型曲线输出比较稳定，振幅与理论仿真预期结果相符，且系统实测谐振频率、设计频率以及仿真频率之间误差维持在5%范围内，具有较好的设计精度。从而，有效验证了基于局部共振设计理论的砂轮盘纵弯谐振系统设计方法的可行性及准确性。

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	郭星晨
	赵波
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	别文博
	王晓博

关键词 ：局部共振理论, 纵弯谐振, 超声磨齿, 成形砂轮

Abstract：

In order to obtain the effective design method for an ultrasonic tooth grinding longitudinal bending resonance system, based on the local resonance theory, the vibration system composed of a large-load forming grinding wheel disc in the grinding system was proposed and designed.According to the continuous conditions and boundary conditions between the vibration units, the theoretical model and frequency equation of the longitudinal bending resonance system were established according to the integrated design idea.Based on the theoretical model, the analysis softwares MATLAB and ANSYS were used to design and optimize the size parameters of each part of the system, and the finite element modal analysis, impedance analysis experiment and ultrasonic resonance test were carried out.The simulation and test results show that the system resonance effect and mode shape curves observed are relatively stable, the amplitude value is consistent with the expected result of the theoretical simulation, and the errors between the measured resonance frequency, the design frequency and the simulation frequency of the system maintain within 5%, which is of good design accuracy.Therefore, the feasibility and accuracy of the design method for the longitudinal bending resonance system of the grinding wheel disk based on the local resonance design theory are effectively verified.

Key words： local resonance theory longitudinal bending resonance ultrasonic grinding teeth forming grinding wheel

收稿日期: 2020-06-02 出版日期: 2021-09-28

引用本文:

郭星晨，赵波，尹龙，别文博，王晓博. 基于局部共振理论的齿轮成形磨削纵弯谐振系统设计[J]. 振动与冲击, 2021, 40(18): 15-24.
GUO Xingchen，ZHAO Bo，YIN Long，BIE Wenbo，WANG Xiaobo. Design of a longitudinal bending resonance system for gear forming grinding based on the local resonance theory. JOURNAL OF VIBRATION AND SHOCK, 2021, 40(18): 15-24.

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http://jvs.sjtu.edu.cn/CN/ 或 http://jvs.sjtu.edu.cn/CN/Y2021/V40/I18/15

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